104188832 has 48 divisors (see below), whose sum is σ = 224677152. Its totient is φ = 47166720.

The previous prime is 104188823. The next prime is 104188883. The reversal of 104188832 is 238881401.

It is a junction number, because it is equal to n+sod(n) for n = 104188792 and 104188801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121718 + ... + 122570.

It is an arithmetic number, because the mean of its divisors is an integer number (4680774).

Almost surely, 2^104188832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104188832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112338576).

104188832 is an abundant number, since it is smaller than the sum of its proper divisors (120488320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104188832 is a wasteful number, since it uses less digits than its factorization.

104188832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 104188832 is about 10207.2930789705. The cubic root of 104188832 is about 470.5513854773.

The spelling of 104188832 in words is "one hundred four million, one hundred eighty-eight thousand, eight hundred thirty-two".